Now, we implement the same procedure used in [1]} to calculate the mean-square end-to-end distance in the open three-dimensional space \(\mathcal {D}= \mathbb {R}^{3}\) , where it is use the modify telegrapher equation (REF ) and the traceless property of \(\mathbb {Q}_{ij}\left({\bf R},s\right)\) . We can reproduce the standard Kratky-Porod [2]} result for a semiflexible polymer in the three-dimensional space [3]}, [2]}
\(\left<\delta {\bf R}^{2}\right>_{\mathbb {R}^{3}}=2\ell _{p}L-2\ell _{p}^{2}\left(1-\exp \left(-\frac{L}{\ell _{p}}\right)\right),\) 
